Math, asked by atmaja7272, 2 days ago

please Answer it correctly it's important if not answered correctly then I will report ur ans. ​

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Answers

Answered by shaksswathi
1

Answer:

Three consecutive odd natural numbers are such that the product of the first and third exceeds four times the middle by 1, then the numbers are 3,5 and 7.

Answered by goelmadhav242
1

Answer:

3, 5 and 7.

Solution:

Let the three consecutive odd numbers be x , (x+2) and (x+4).

x \times (x + 4) - 4(x + 2)= 1 \\  {x}^{2}  + 4x - 4x - 8 = 1 \\  {x}^{2}   - 8= 1  \\  {x}^{2}  = 1 + 8 \\  {x}^{2}  = 9 \\ x =  \sqrt{9}  =  3 \\ numbers \: are :  \\ x = 3 \\ (x + 2) = 3 + 2 = 5 \\ (x + 4) = 3 + 4 = 7

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